The stars are visibly obscured in the daytime by the illumination of the Earth's atmosphere by the one star that is visible and outshines all others due to its relatively closer proximity, the Sun which is millions of time closer and therefore billions of times brighter in comparison, unless obscured by clouds or occasionally the Moon during a total eclipse.
Some stars have been observed during a total eclipse and one nearly in line with the Sun showed an apparent shift from its usual position due to the Sun's gravity but it was not the position of the star itself but the direction of its light which was affected.